We had studied about the computation of derivatives that is, how to find the derivatives of different function like composite functions, implicit functions, trigonometric functions and logarithm functions etc. Copy the link given below and paste it in new browser window to get more information on Introduction of Application of Derivatives www.askiitians.com/iit-study-material/iit-jee-mathematics/differential-calculus/introduction-of-application-of-derivatives/

1. Introduction of
Application of
Derivatives

2. Derivative in calculus
 Derivative is the slope at a point on a line
around the curve. It is a fundamental tool of
calculus.
 If f(x) is the function
then the derivative
of it will be
represented by fꞌ(x).

3. History of Derivatives
Calculus was discovered by Isaac Newton and Gottfried
Leibniz in 17th Century. But it was not possible without the
early developments of Isaac Barrow about the derivatives
in 16th century.
Isaac Newton Gottfried Leibniz
(1642-1727) (1646-1716)

4. Application of derivatives
1. to find the rate of change of a quantity
2. to find equation of tangent and normal
for a curve at a point

5. 3. to find the interval in which a function
is increasing or decreasing.

6. 4. to find turning point of a curve and hence
find maximum and minimum values.
5. to find approximate values of a quantity.

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